There are two basic foods that can be combined to prepare the meals for school children. The authorities has been charged with responsibility of ensuring that the students receive certain specified minimum nutritional requirements. The meal must containat least 10 units of protein, at least 7 units of vitamin A, at least 8 units of iron. The authorities intends to use two substances F, and F, to prepare the meal. Each gram of F, contains 2 units of protein, 2 units vitamin A, and 4/3 units of iron. Each gram of F2 contains 2 units of protein, 1 unit of vitamin A and 2 units of iron. The cost per gram of F, is Rs 1.50 and the cost per gram of F2 is Rs.2.00 A student should get 8 grams of meal and it should contain at least 2 grams of F, and at least 3 grams of F, The authorities want to determine how mix the two foods to prepare the meal so that each student get the specified nutritional requirements and keep the cost to a minimum. Formulate this problem as a liner programming model (a) What are the variables in this problem? (b) What is the objective of this problem? (c) What are the constraints of the problem? (d)Solve the formatted programme graphically to determine how to mx the two foods in order to minimise the cost.